(<i>F</i>, <i>G</i>, <i>C</i>)-Resolvent Operator Families and Applications
In this paper, we introduce and investigate several new classes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>F</mi><mo>,</mo><mi>G</mi>&l...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/16/3505 |
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| author | Vladimir E. Fedorov Marko Kostić |
| author_facet | Vladimir E. Fedorov Marko Kostić |
| author_sort | Vladimir E. Fedorov |
| collection | DOAJ |
| description | In this paper, we introduce and investigate several new classes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>F</mi><mo>,</mo><mi>G</mi><mo>,</mo><mi>C</mi><mo>)</mo></mrow></semantics></math></inline-formula>-regularized resolvent operator families subgenerated by multivalued linear operators in locally convex spaces. The known classes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>a</mi><mo>,</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula>-regularized <i>C</i>-resolvent operator-type families are special cases of the classes introduced in this paper. We provide certain applications of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>F</mi><mo>,</mo><mi>G</mi><mo>,</mo><mi>C</mi><mo>)</mo></mrow></semantics></math></inline-formula>-regularized resolvent operator families and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>a</mi><mo>,</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula>-regularized <i>C</i>-resolvent families to abstract fractional differential–difference inclusions and abstract Volterra integro-difference inclusions. |
| first_indexed | 2024-03-10T23:45:16Z |
| format | Article |
| id | doaj.art-229f22ad8e784541a3b1e7d4f3fa00f6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T23:45:16Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-229f22ad8e784541a3b1e7d4f3fa00f62023-11-19T02:02:59ZengMDPI AGMathematics2227-73902023-08-011116350510.3390/math11163505(<i>F</i>, <i>G</i>, <i>C</i>)-Resolvent Operator Families and ApplicationsVladimir E. Fedorov0Marko Kostić1Department of Mathematical Analysis, Mathematics Faculty, Chelyabinsk State University, Kashirin Brothers St. 129, 454001 Chelyabinsk, RussiaFaculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, 21125 Novi Sad, SerbiaIn this paper, we introduce and investigate several new classes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>F</mi><mo>,</mo><mi>G</mi><mo>,</mo><mi>C</mi><mo>)</mo></mrow></semantics></math></inline-formula>-regularized resolvent operator families subgenerated by multivalued linear operators in locally convex spaces. The known classes of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>a</mi><mo>,</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula>-regularized <i>C</i>-resolvent operator-type families are special cases of the classes introduced in this paper. We provide certain applications of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>F</mi><mo>,</mo><mi>G</mi><mo>,</mo><mi>C</mi><mo>)</mo></mrow></semantics></math></inline-formula>-regularized resolvent operator families and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>a</mi><mo>,</mo><mi>k</mi><mo>)</mo></mrow></semantics></math></inline-formula>-regularized <i>C</i>-resolvent families to abstract fractional differential–difference inclusions and abstract Volterra integro-difference inclusions.https://www.mdpi.com/2227-7390/11/16/3505(<i>F</i>, <i>G</i>, <i>C</i>)-resolvent operator familiesabstract fractional differential–difference inclusionsabstract Volterra integro-difference inclusionslocally convex spaceswell-posedness |
| spellingShingle | Vladimir E. Fedorov Marko Kostić (<i>F</i>, <i>G</i>, <i>C</i>)-Resolvent Operator Families and Applications Mathematics (<i>F</i>, <i>G</i>, <i>C</i>)-resolvent operator families abstract fractional differential–difference inclusions abstract Volterra integro-difference inclusions locally convex spaces well-posedness |
| title | (<i>F</i>, <i>G</i>, <i>C</i>)-Resolvent Operator Families and Applications |
| title_full | (<i>F</i>, <i>G</i>, <i>C</i>)-Resolvent Operator Families and Applications |
| title_fullStr | (<i>F</i>, <i>G</i>, <i>C</i>)-Resolvent Operator Families and Applications |
| title_full_unstemmed | (<i>F</i>, <i>G</i>, <i>C</i>)-Resolvent Operator Families and Applications |
| title_short | (<i>F</i>, <i>G</i>, <i>C</i>)-Resolvent Operator Families and Applications |
| title_sort | i f i i g i i c i resolvent operator families and applications |
| topic | (<i>F</i>, <i>G</i>, <i>C</i>)-resolvent operator families abstract fractional differential–difference inclusions abstract Volterra integro-difference inclusions locally convex spaces well-posedness |
| url | https://www.mdpi.com/2227-7390/11/16/3505 |
| work_keys_str_mv | AT vladimirefedorov ifiigiiciresolventoperatorfamiliesandapplications AT markokostic ifiigiiciresolventoperatorfamiliesandapplications |